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2 years ago

3. The area of a square garden is 200 m2. How long is the diagonal?

Mathematics

1 answer:

Step2247 [10]2 years ago

3 0

The answer and explanation in the pic below

Good luck,!

If helped..mark brainliest please ;)

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1. Consider f(x) = 3x - 5

Rzqust [24]

Answer:

Step-by-step explanation:

Here we have the function

$f(x)=3x-5$

We want to find the following ratio:

$\frac{f(x+h)-f(x)}{h}$

Note that the limit of this for $h\rightarrow 0$ is equivalent to the derivative of the function.

Here we have:

$f(x+h)=3(x+h)-5=3x+3h-5$

And

$f(x)=3x-5$

Therefore we have

$f(x+h)-f(x)=3x+3h-5-(3x-5)=3h$

And therefore,

$\frac{f(x+h)-f(x)}{h}=\frac{3h}{h}=3$

4 0

2 years ago

The graphs of f(x) and g(x) are shown below:

rosijanka [135]

<h2>Answer:</h2>

Option: C is the correct answer.

C.) x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

$f(x)=x^2-x-12$

and the function g(x) is given by:

$g(x)=-1.8x-0.6$

Now, we are asked to find the solution of the equation:

$f(x)=g(x)$

i.e. we have to find the value of x such that both the functions are equal i.e.

$x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0$

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

$ax^2+bx+c=0$

is given by:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here we have:

$a=5,\ b=4\ and\ c=-57$

Hence, the solution is given by:

$x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3$

6 0

2 years ago

A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average sp

Tju [1.3M]

Answer:

<h2>Average speed is 15km/h</h2>

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h

3 0

2 years ago

PLEASE HELP

liq [111]

--------------------------------------------
Question
--------------------------------------------
$3 \times 1000 + 6 \times 100 + 1 \times 10 + 2 \times \frac{1}{10} + 1 \times \frac{1}{1,000}$

--------------------------------------------
Convert the fractions to decimals
--------------------------------------------
$3 \times 1000 + 6 \times 100 + 1 \times 10 + 2 \times 0.1 + 1 \times 0.001$

--------------------------------------------
Evaluate each term
--------------------------------------------
$3000 + 600 + 10 + 0.2 + 0.001$

--------------------------------------------
Add them up
--------------------------------------------
$3610.201$

--------------------------------------------
Answer : 3610.201
--------------------------------------------

3 0

2 years ago

Please help now i need it quick

liubo4ka [24]

1. Out of a study of 64 dentists, 56 recommended.
2. 3 is the answer. Hope you do well on your test :)))

8 0

2 years ago

Read 2 more answers